Question

What is the trigonometric form of `8 e^( ( 5 pi)/12 i )`?

Answer 1

`8 [cos((5pi)/12) + isin((5pi)/12) ]`

Explanation:

Using`color(blue)" Euler's identity"` which states :

`re^(thetai) = r (costheta + isintheta)`

here r = 8 and `theta = (5pi)/12`

`rArr 8e^((5pi)/12 i) = 8 [cos((5pi)/12) + isin((5pi)/12) ]`